40000+1000x=60000
-40000. -40000
1000x=20000
x=20
You add half of the coefficient of x and square it.
What you do on one side,you must do it on the other.
185.4m (rounded to 1dp)
Circumference of a circle is the diameter times by pi. 59×pi=185.4
Answer:
8. (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
9. f(g(x)) = 4x/(1+6x)
Step-by-step explanation:
8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.
g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)
So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:
(-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
__
9. Substituting the definition of g(x) into the expression for f(x), we get ...